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    • Alias-norm.lisp

    Constraintlist-subst-from-svexarr

    Signature
    (constraintlist-subst-from-svexarr x aliases svexarr) → xx
    Arguments
    x — Guard (constraintlist-p x).
    Returns
    xx — Type (constraintlist-p xx).

    Definitions and Theorems

    Function: constraintlist-subst-from-svexarr

    (defun constraintlist-subst-from-svexarr (x aliases svexarr)
     (declare (xargs :stobjs (aliases svexarr)))
     (declare (xargs :guard (constraintlist-p x)))
     (declare
        (xargs :guard (and (svarlist-boundedp (constraintlist-vars x)
                                              (aliass-length aliases))
                           (svarlist-boundedp (constraintlist-vars x)
                                              (svexs-length svexarr)))))
     (let ((__function__ 'constraintlist-subst-from-svexarr))
      (declare (ignorable __function__))
      (mbe :logic
           (b* (((when (atom x)) nil)
                ((constraint x1) (car x))
                (cond (svex-subst-from-svexarr x1.cond svexarr)))
             (cons (change-constraint x1 :cond cond)
                   (constraintlist-subst-from-svexarr (cdr x)
                                                      aliases svexarr)))
           :exec
           (if (atom x)
               nil
             (with-local-stobj
                  nrev
                  (mv-let (ans nrev)
                          (b* ((nrev (constraintlist-subst-from-svexarr-nrev
                                          x aliases svexarr nrev))
                               ((mv ans nrev)
                                (acl2::nrev-finish nrev)))
                            (mv ans nrev))
                    ans))))))

    Theorem: constraintlist-p-of-constraintlist-subst-from-svexarr

    (defthm constraintlist-p-of-constraintlist-subst-from-svexarr
      (b* ((xx (constraintlist-subst-from-svexarr x aliases svexarr)))
        (constraintlist-p xx))
      :rule-classes :rewrite)

    Theorem: constraintlist-subst-from-svexarr-of-constraintlist-fix-x

    (defthm constraintlist-subst-from-svexarr-of-constraintlist-fix-x
      (equal (constraintlist-subst-from-svexarr (constraintlist-fix x)
                                                aliases svexarr)
             (constraintlist-subst-from-svexarr x aliases svexarr)))

    Theorem: constraintlist-subst-from-svexarr-constraintlist-equiv-congruence-on-x

    (defthm
     constraintlist-subst-from-svexarr-constraintlist-equiv-congruence-on-x
     (implies
      (constraintlist-equiv x x-equiv)
      (equal
           (constraintlist-subst-from-svexarr x aliases svexarr)
           (constraintlist-subst-from-svexarr x-equiv aliases svexarr)))
     :rule-classes :congruence)

    Theorem: constraintlist-subst-from-svexarr-of-lhslist-fix-aliases

    (defthm constraintlist-subst-from-svexarr-of-lhslist-fix-aliases
      (equal (constraintlist-subst-from-svexarr x (lhslist-fix aliases)
                                                svexarr)
             (constraintlist-subst-from-svexarr x aliases svexarr)))

    Theorem: constraintlist-subst-from-svexarr-lhslist-equiv-congruence-on-aliases

    (defthm
     constraintlist-subst-from-svexarr-lhslist-equiv-congruence-on-aliases
     (implies
      (lhslist-equiv aliases aliases-equiv)
      (equal
           (constraintlist-subst-from-svexarr x aliases svexarr)
           (constraintlist-subst-from-svexarr x aliases-equiv svexarr)))
     :rule-classes :congruence)

    Theorem: svarlist-addr-p-of-constraintlist-subst-from-svexarr

    (defthm svarlist-addr-p-of-constraintlist-subst-from-svexarr
     (implies
      (and (svarlist-addr-p (svexarr-vars svexarr))
           (svarlist-addr-p (aliases-vars aliases)))
      (svarlist-addr-p
          (constraintlist-vars
               (constraintlist-subst-from-svexarr x aliases svexarr)))))